the numerator of a rational number is less than it's denominator by 3.if the numerator becomes three times and the denominator is increased by 20,the new number becomes 1/8. find the original number.
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Step-by-step explanation:
let the denominator be x
and the numerator be x-3
according to question
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3(x-3)/x+20=1/8
3x-9/x+20=1/8
8(3x-9)=x+20
24x-72=x+20
24x-x=20+72
23x=92
x=92/23=4
denominator=4
numerator=4-3=1
fraction=1/4
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